Regensburg 2000 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 52: Hydrodynamik und Turbulenz II
DY 52.5: Vortrag
Freitag, 31. März 2000, 12:00–12:15, H2
Correlation structure of dynamical turbulent cascades — •Jürgen Schmiegel1 and Martin Greiner2 — 1MPI für Physik komplexer Systeme, Dresden — 2Technische Universität Dresden
Multiplicative branching processes are able to model phenomenologically several facets of the inertial range energy cascade in fully developed Navier-Stokes turbulence like, for example, intermittency and multiscaling. Since, by construction, these models are stochastic and geometrical, but do not involve a dynamical evolution, their relationship to the Navier-Stokes dynamics remains unclear. We present a generalisation of these models, which keeps stochasticity, but introduces a causal space/time evolution. Equal-time n-point correlation functions exhibit perfect multiscaling; other, experimentally relevant observables are also discussed.